\beta-function for the Higgs self-interaction in the Standard Model at three-loop level

TL;DR

This paper presents a detailed three-loop calculation of the Higgs self-interaction eta-function in the Standard Model, incorporating QCD, electroweak, Higgs, and Yukawa effects, enhancing precision in theoretical predictions.

Contribution

It provides the first complete three-loop analytical results for the Higgs self-coupling eta-function in the unbroken Standard Model, including multiple interaction contributions.

Findings

Analytical three-loop eta-function for Higgs self-coupling computed.

Includes QCD, electroweak, Higgs, and Yukawa contributions.

Results improve theoretical precision for Higgs sector predictions.

Abstract

We analytically compute the QCD, electroweak, Higgs and third generation Yukawa contributions to the \beta-function for the Higgs self-coupling as well as for the Higgs mass parameter in the unbroken phase of the Standard Model at three-loop level.